2x^2-24x=-64

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Solution for 2x^2-24x=-64 equation:


Simplifying
2x2 + -24x = -64

Reorder the terms:
-24x + 2x2 = -64

Solving
-24x + 2x2 = -64

Solving for variable 'x'.

Reorder the terms:
64 + -24x + 2x2 = -64 + 64

Combine like terms: -64 + 64 = 0
64 + -24x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(32 + -12x + x2) = 0

Factor a trinomial.
2((4 + -1x)(8 + -1x)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4

Subproblem 2

Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8

Solution

x = {4, 8}

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